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GCD of 948, 558, 360, 234 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 948, 558, 360, 234 quickly. Get the easiest ways to solve the greatest common divisor of 948, 558, 360, 234 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 558, 360, 234 with Factoring?

Given Input numbers are 948, 558, 360, 234

In the factoring method, we have to find the divisors of all numbers

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234


GCD of numbers is the greatest common divisor

So, the GCD (948, 558, 360, 234) = 6.

Find GCD of 948, 558, 360, 234 using Prime Factorization

Given numbers are 948, 558, 360, 234

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 21 x 31

Therefore, GCD of 948, 558, 360, 234 is 6.

Steps to Calculate GCD of 948, 558, 360, 234 using LCM Formula

Given numbers are 948, 558, 360, 234

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(948, 558) = 88164

GCD(948, 558) = ( 948 x 558 ) / 88164

= 948 / 558

= 948


Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6


Step3:

LCM(6, 234) = 234

GCD(6, 234) = ( 6 x 234 ) / 234

= 6 / 234

= 6


So, Greatest Common Divisor of 948, 558, 360, 234 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 558, 360, 234

Given numbers are 948, 558, 360, 234
The greatest common divisor of numbers 948, 558, 360, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 558, 360, 234 is 6.

FAQs on GCD of 948, 558, 360, 234 Calculator

1. What is the GCD of 948, 558, 360, 234?

GCD of given numbers 948, 558, 360, 234 is 6


2. How to calculate the greatest common divisor of 948, 558, 360, 234?

We can find the highest common divisor of 948, 558, 360, 234 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 948, 558, 360, 234 i.e 6.


3. How can I use the GCD of 948, 558, 360, 234Calculator?

Out the numbers 948, 558, 360, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.